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Which set of numbers that add to 100 have the largest product?
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In how many ways can you fit all three pieces together to make shapes with line symmetry?
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How many different symmetrical shapes can you make by shading triangles or squares?
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What do you notice about the sum of two identical triangular numbers?
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Square numbers can be represented as the sum of consecutive odd numbers. What is the sum of 1 + 3 + ..... + 149 + 151 + 153?
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Can you arrange these numbers into 7 subsets, each of three numbers, so that when the numbers in each are added together, they make seven consecutive numbers?
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Draw some isosceles triangles with an area of $9cm^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?
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Can you find triangles on a 9-point circle? Can you work out their angles?
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Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?
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Are these games fair? How can you tell?
